A steel cylinder of $40$ litres capacity contains a gas under $100$ atmosphere pressure. Find how many cylinders of $400 {c m}^{3}$ capacity could be filled from it at $76 c m$ of $H g$ ?
[Temperature is constant]

10,000

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40,000

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4,000

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1,000

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Solution

The correct option is A 10,000
$P_{2} V_{2} = P_{1} V_{1} ⟹ 76 c m o f H g \times V_{2} = 40 l i t \times 7600 c m o f H g ⟹ V_{2} = 4000 l i t = 4 \times 10^{6} {c m}^{3}$
$∴$ No. of cylinders of $400 c m^{3} = \frac{4 \times 10^{6} {c m}^{3}}{400 {c m}^{3}} = 10000$

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When the cylinder is filled, the pressure gauge reads 400 mm of Hg and the temperature is 270 K. Find the number of cylinders required to fill the gas.

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A steel cylinder of 40 litres capacity contains a gas under 100 atmosphere pressure. Find how many cylinders of 400 cm3 capacity could be filled from it at 76 cm of Hg? [Temperature is constant]

The correct option is A 10,000P2V2=P1V1⟹76cmofHg×V2=40lit×7600cmofHg⟹V2=4000lit=4×106cm3 ∴ No. of cylinders of 400cm3=4×106cm3400cm3=10000

A steel cylinder of $40$ litres capacity contains a gas under $100$ atmosphere pressure. Find how many cylinders of $400 {c m}^{3}$ capacity could be filled from it at $76 c m$ of $H g$ ?
[Temperature is constant]

The correct option is A 10,000
$P_{2} V_{2} = P_{1} V_{1} ⟹ 76 c m o f H g \times V_{2} = 40 l i t \times 7600 c m o f H g ⟹ V_{2} = 4000 l i t = 4 \times 10^{6} {c m}^{3}$
$∴$ No. of cylinders of $400 c m^{3} = \frac{4 \times 10^{6} {c m}^{3}}{400 {c m}^{3}} = 10000$